The following table is the frequency distribution of the masses of 45 students in a class:mass kilogram 41-45,46-50,51-55,56-60,61-65,66-70 and number of students 3,8,13,11,7,3.draw a histogram of the distribution

Answer 1

To draw a histogram for the given frequency distribution of the masses of students, you can follow these steps:

Frequency Distribution Table:

| Mass (kg) | Frequency | |-----------|-----------| | 41 - 45 | 3 | | 46 - 50 | 8 | | 51 - 55 | 13 | | 56 - 60 | 11 | | 61 - 65 | 7 | | 66 - 70 | 3 |

Steps to Draw the Histogram:

1. Prepare the Axes:

   • X-axis: Represents the mass intervals (bins). Use the midpoints of each interval for better representation, although it is common to label the intervals themselves.
   • Y-axis: Represents the frequency (number of students).

2. Determine the Width of Each Bar:

   • All intervals are of equal width (5 kg in this case).

3. Draw the Bars:

   • Bar heights correspond to the frequencies as follows:
     • For the interval 41-45, the height is 3.
     • For the interval 46-50, the height is 8.
     • For the interval 51-55, the height is 13.
     • For the interval 56-60, the height is 11.
     • For the interval 61-65, the height is 7.
     • For the interval 66-70, the height is 3.

Example of a Histogram:

Here is a text representation of what the histogram may look like:

Frequency
 |                           #
 |                           #
 |          #                #
 |          #                #
 |          #                #                #
 |          #          #     #                #
 |          #          #     #                #
 |          #          #     #          #     #
 |          #          #     #          #     #
 |    #     #          #     #          #     #                #
 |    #     #          #     #          #     #                #
 |    #     #          #     #   #      #     #      #         #
 |____#_____##___#______#_____##____#___###_____##_____##___####_##____Mass (kg)
    41-45   46-50   51-55   56-60   61-65   66-70

Drawing the Histogram:

If you want to physically create this histogram on paper or using software, follow these visual steps:

• Draw the horizontal and vertical axes.
• Label the X-axis with the mass intervals and the Y-axis with appropriate frequency numbers.
• Use rectangles for each interval where the height corresponds to the number of students in each frequency.

In practical situations, you might use graphing software or tools like Excel or Google Sheets to create a more polished histogram. If needed, please specify how or where you want to draw the histogram, and I can provide more tailored guidance!